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Finding the Fourth Proportional to 7,026.37, 9,697 and 3,883.16

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Solution

The fourth proportional to 7,026.37, 9,697 and 3,883.16 is: 5,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.37 : 9,697 = 3,883.16 : x
  2. Step 2: Convert to fraction form
    7,026.37/9,697 = 3,883.16/x
  3. Step 3: Cross multiply
    7,026.37x = 9,697 × 3,883.16
  4. Step 4: Simplify right side
    7,026.37x = 37,655,002.52
  5. Step 5: Solve for x
    x = 37,655,002.52/7,026.37
  6. Step 6: Final answer
    x = 5,359.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.